arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1104.0055hep-ph
收藏

中微子混合的群论和动力学

Group Theory and Dynamics of Neutrino Mixing

C. S. Lam

摘要:

中微子混合和水平对称性之间有一种直接的群论联系,这种联系可以在没有任何动力学输入的情况下建立。这种联系在这篇文章中进行了审查和扩展。对于某些对称群$\G$,包括$A_4$和$S_4$,它表明,一个通用的$U(1)\x\G$希格斯势的valon产量正是由群论方法所规定的路线,但能量现在可以用来区分不同的路线。这种机制可能解释了为什么从$A_4$群开始,具有增强的$S_4$对称性的三重极大混合矩阵比没有它的混合矩阵更优选。

英文摘要:

There is a direct group-theoretical connection between neutrino mixing and horizontal symmetry that can be established without any dynamical input. Such a connection is reviewed and expanded in this article. For certain symmetry groups $\G$ including $A_4$ and $S_4$, it is shown that a generic $U(1)\x\G$ Higgs potential of a valon yields exactly the alignments dictated by the group-theoretic approach, but energy can now be used to discriminate different alignments. This mechanism possibly explains why starting from an $A_4$ group, the tribimaximal mixing matrix with an enhanced $S_4$ symmetry is more preferable than the one without it.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑